Each sweat shop worker at a computer factory can put together
4.7 computers per hour on average with a standard deviation of 0.9
computers. 6 workers are randomly selected to work the next shift
at the factory. Round all answers to 4 decimal places where
possible and assume a normal distribution.
- What is the distribution of X? X ~
N(____________,_____________)
- What is the distribution of ¯x? ¯x ~
N(______________,_____________)
- What is the distribution of ∑x ? ∑x ~
N(_____________,_____________)
- If one randomly selected worker is observed, find the
probability that this worker will put together between 4.4 and 4.8
computers per hour.
- For the 6 workers, find the probability that their average
number of computers put together per hour is between 4.4 and
4.8.
- Find the probability that a 6 person shift will put together
between 26.4 and 28.8 computers per hour.
- For part e) and f), is the assumption of normal necessary? Yes
No
- A sticker that says "Great Dedication" will be given to the
groups of 6 workers who have the top 20% productivity. What is the
least total number of computers produced by a group that receives a
sticker? ______________minutes (round to the nearest computer)